investigation of shear-dominated response · pdf filestructural walls with different opening...
TRANSCRIPT
INVESTIGATION OF SHEAR-DOMINATED RESPONSE OF MULTI-STORY RC
STRUCTURAL WALLS WITH DIFFERENT OPENING LOCATIONS
Rafik TALEB1, Masanobu SAKASHITA
2, and Susumu KONO
3
SUMMARY
The aim of this paper is to present the experimental results of three 40% scale reinforced concrete
single span and 2.5 storied structural walls tested under lateral reversed cyclic loading. One wall
specimen without openings and two specimens having different opening location. These
specimens represented the lower three stories of a typical six storied reinforced concrete (RC)
building in Japan and were designed to fail in shear prior to flexure. The main purposes of the
experimental tests were to evaluate their shear behavior and to identify the influence of the
openings location on cracks distribution and shear strength of RC structural walls. The shear
strengths of the tested walls were estimated by combining the shear strength of structural wall
without openings and the reduction factor that takes into account the openings. Experimental and
analytical results showed that the shear strength was different depending on the loading direction
due to opening locations. A two-dimensional finite element analysis was carried out to simulate
the performance of the tested specimens. The constructed finite elements model simulated the
lateral load-drift ratio relations with sufficient accuracy.
Keywords: RC walls with openings; static test; shear behavior; shear strength reduction factor;
FEM analysis.
INTRODUCTION
Reinforced concrete structural walls are one of the main earthquake-resisting components for mid and high rise
RC buildings. Experience from past earthquakes has shown that buildings with well-designed structural walls
can significantly reduce life and economic losses. For functional reasons, the structural walls may have openings
like windows, doors and duct spaces. The opening sizes, locations and shapes affect their seismic performance
by reducing the stiffness and the strength of the structural wall. The structural walls with openings may be
considered as irrational structures that defy solution by normal structural analysis, and only experimental studies
or finite element analysis can assist to disclose their behavior (Park and Paulay 1975). During the past decades,
numerous experimental studies have been conducted to study the behavior of shear-dominated RC structural
walls with and without openings (e.g., Ono 1995; Lopes 2001; Brun et al. 2011). However, the case of large
openings for multi-story buildings have not been deeply investigated. More experimental data are needed to
clarify the shear behavior of structural walls with eccentric openings under lateral loading.
It is a common practice to model structural walls with openings with strut and tie models. However, the
modeling procedure is not straightforward and requires some skills to prove the model could represent the
necessary complex stress state, especially for shear-dominated RC walls. In such cases, finite element studies
may be an efficient alternative. Nowadays, and due to availability of powerful computers and modeling
techniques, numerical modelling approaches are able to provide an accurate assistance to the experimental
investigations of reinforced concrete structural walls (e.g., Kim and Lee 2003; Balkaya and Kalkan 2004).
1 PhD Candidate, Dept. of Environmental Science and Technology, Tokyo Institute of Technology, Japan, e-mail: [email protected] 2 Assistance Professor, Department of Architecture and Architectural Eng., Kyoto University, Japan, e-mail: [email protected] 3 Professor, Materials and Structures Laboratory, Tokyo Institute of Technology, Japan, e-mail: [email protected]
ANALYTICAL INVESTIGATIONS ON THE SEISMIC RESPONSE
OF AN RC BOX-TYPE WALL BUILDING STRUCTURAL SYSTEM
Kyung Ran HWANG1 and Han Seon LEE
2
SUMMARY
The residential reinforced concrete (RC) box-type wall structural system in Korea is unique
around the world and the seismic performance of these structures has been investigated with due
interest, neither in Korea nor abroad. The analytical models are calibrated by using the results of
shaking table test on a 1:5 scale 10-story RC box-type wall building model, and after the
characteristics in the seismic behavior of walls including the effect of slabs and openings are
investigated based on the numerical results obtained from the static and dynamic analyses of the
box-type wall structures. The following conclusions are drawn from the analytical investigation:
(1) The failure modes of the box-type wall structures indicate that the walls were mainly
subjected to the flexural bending as well as to the membrane action. The membrane action in
tension and compression due to coupling effect of strong wall-to-wall and wall-to-slab interaction
can increase significantly the capacity of the overturning moment. And, (2) the model, which
ignores the flexural rigidity of the slab and coupling beam, the natural period, initial stiffness, and
maximum strength representing the global responses are considerably lower than those of the
models with slab and coupling beam.
Keywords: reinforced concrete; box-type wall structure; membrane action; coupling effect; 3D
nonlinear dynamic analysis; PERFORM-3D.
INTRODUCTION
The number of apartment dwelling units (8,576,013) is more than 58.4% of the total number (14,677,419) in
Korea (Korea National Statistical Office, KNSO 2010). These residential apartment buildings such as shown in
Figure 1 generally consist of high-rise reinforced concrete (RC) wall structures. The style of these RC structures
is unique around the world and the seismic performance of these structures has been investigated with due
interest, neither in Korea nor abroad, except a few studies.
In 1999 Turkey earthquake, the RC box-type wall buildings, constructed by using tunnel form techniques, were
found to perform well under the earthquake. Balkaya and Kalkan (2003) investigated the seismic performance
of these RC box-type structures by conducting three-dimensional (3D) finite element pushover analysis to
evaluate the influence of the different size and location of openings and the wall-to-wall and wall-to-slab
interactions. The interaction effects of the slabs and transverse walls increased the overall capacity of the pierced
shear walls in spite of the door openings introducing a strong disruption of the shear flow between walls. Kalkan
and Yuksel (2007) performed the experimental and analytical researches on the seismic behavior of the box-type
building using two 1:5 scale 4-story specimens under quasi-static cyclic lateral loading. The global
tension/compression couple of wall-to-wall interaction caused the failure mechanism by axial tension in
outermost shear walls. The failure took place due to low longitudinal reinforcement ratio of walls and negative
contribution of low axial load. Similar failure condition was observed in the eight-story shear-wall dominant
building during 1985 Chile earthquake (Wood 1991).
1 Research assistant (Ph. D Student), School of Civil, Environmental, and Architectural Engineering, Korea University, Korea 2 Professor, School of Civil, Environmental, and Architectural Engineering, Korea University, Korea, e-mail: [email protected]
ESTIMATION OF SHEAR STRENGTH OF INFILLED URM WALL
BASED ON DAIGONAL STRUT MECHANISM
Ho CHOI1, Kiwoong JIN
2, and Yoshiaki NAKANO
3
SUMMARY
In this study, RC frames with URM (CB) wall for typical school buildings in Korea are
experimentally investigated to evaluate their seismic capacity. One-bay, one-fourth scale specimens
with CB walls having different boundary condition due to beam rigidity are tested under in-plain
loading. In this paper, the diagonal strut mechanism of CB wall is discussed using principal
compressive strains on CB wall. The lateral strength carried by CB wall and RC frame are also
explained based on the compressive stress acting on CB wall and the curvature distribution along
both columns during the test.
Keywords: R/C building; URM wall; seismic capacity; diagonal strut mechanism; FEMA306.
INTRODUCTION
In some regions of Asia, Europe, and Latin America where earthquakes frequently occur, serious earthquake
damage is commonly found resulting in catastrophic building collapse. Such damaged buildings often have
unreinforced masonry (URM) walls, which are considered non-structural elements in the structural design stage,
and building engineers have paid less attention to their effects on structural performance although URM walls
may interact with boundary frames. The evaluation of seismic capacity of URM walls built in boundary frames
is therefore urgently necessary to mitigate earthquake damage for those buildings.
For this purpose, RC frames with unreinforced concrete block (CB) wall for typical school buildings in Korea
are experimentally investigated to evaluate their seismic capacity including failure mechanism and load bearing
capacity. One-bay, 1/4-scale specimens with CB walls having different boundary condition due to beam rigidity
are tested under cyclic and monotonic loadings. Among these specimens, the test results on inflled frame
specimen with rigid beam under monotonic loading were discussed in the reference (Jin 2012). In this paper, the
test results of two specimens with different boundary conditions due to beam rigidity under cyclic loadings are
discussed.
OUTLINE OF EXPERIMENT
Prototype Building and Experiment Parameters
The test specimens are designed according to the standard design of Korean 4 story school buildings (referred to
as “prototype building” shown in figure 1) in the 1980’s (The Ministry of Construction and Transportation 2002).
In this paper, two specimens which are infilled frame with rigid beam (IFRB) and infilled frame with flexible
beam (IFFB) having an axial load level of their first story under cyclic loadings are discussed.
1 Research Associate, Institute of Industrial Science, The University of Tokyo, Japan, e-mail: [email protected] 2 Research Associate, Dept. of Architecture and Building Eng., Tokyo Metropolitan University, Japan, e-mail: [email protected] 3 Professor, Institute of Industrial Science, The University of Tokyo, Japan, e-mail: [email protected]
STUDY ON SLIDING SHEAR FAILURE OF
REINFORCED CONCRETE BEARING WALLS
Masanori TANI1, Susumu KONO
2, and Hiroshi FUKUYAMA
3
SUMMARY
There are several types of brittle failure mode of flexure-dominant R/C bearing wall. Recently
flexural compression failure at lower floor of multi-story bearing walls without boundary columns
has attracted much attention, because this failure mode was observed in many high-rise R/C
buildings which were heavily damaged in the 2010 Chile Earthquake. Meanwhile, there have
been reported some experimental results that R/C wall specimens failed in sliding shear at the
wall base after flexural yielding did not have enough deformation capacity. Two specimens whose
experimental parameter is detail of boundary columns were tested to obtain fundamental test data
about sliding shear behavior at wall base and confirm the accuracy of evaluation methods
proposed in the past. Although they were designed to fail in sliding shear, the observed final
failure modes were flexural compression or out-of-plane buckling of boundary columns.
Hysteretic characteristics and damage condition observed in the experiment was reported and the
accuracy of capacity estimation was discussed. The accuracy of the equations for sliding shear
capacity was also discussed by using experimental database constructed by authors in the past.
Keywords: reinforced concrete; bearing wall; sliding shear failure; experimental database.
INTRODUCTION
Flexural compression failure of R/C multi-story bearing wall at lower floor (Photo 1) was observed in many
buildings after the 2010 Chile Maule Earthquake (e.g., Tani et al. 2011). This failure mode has attracted
remarkable attention as one of brittle failure modes of R/C flexural bearing wall. On the other hand, some
researchers have reported that some R/C wall specimens which failed in sliding shear (Photo 2) after flexural
1 Research Engineer, International Institute of Seismology and Earthquake Engineering, Building Research Institute, Japan, e-mail: [email protected] 2 Professor, Structural Engineering Research Center, Tokyo Institute of Technology, Japan, e-mail: [email protected] 3 Director, Department of Structural Engineering, Building Research Institute, Japan, e-mail: [email protected]
Photo 1 Damage of multi-story bearing wall without
boundary columns at the 2010 Chile Earthquake
(Tani et al. 2011)
Photo 2 Sliding shear failure at wall’s base
(Paulay et al. 1982)
�
PREDICTION OF SHEAR STRENGTH BEHAVIOR FOR RC SHORT COLUMNS
USING HIGH STRENGTH MATERIALS
Yi-An LI1, and Shyh-Jiann HWANG
2
SUMMARY
Short columns in building structures are generally considered to be members with high stiffness
and governed by shear. They usually sustain large forces during earthquake, and are susceptible to
brittle shear failure. In the mechanism of lateral load resistance, short columns are often the first
members to fail. Therefore, shear strength and corresponding deflection for short columns have
significant influence on seismic assessment. In this study, the shear strength of the short columns
made of high strength materials is evaluated using the Softened Strut-and-Tie model, and the
shear deformation of cracked reinforced concrete is estimated from the strain field in that model.
A comparison with experimental results available in literature verified that the proposed curves
could produce reasonable predictions. In this paper, the shear strength formulas of Architectural
Institute of Japan (1990) and New RC project were also compared with the test results. Their
accuracy and predicted failure mechanism were also reported.
Keywords: high strength, reinforced concrete, short column, shear failure, strut-and-tie
INTRODUCTION
Short columns often appear in buildings due to openings in the wall for indoor ventilation or air-conditioning.
Reinforced concrete short columns are categorized as short and deep members. Due to their high stiffness and
brittle shear failure during earthquake, short columns often sustain relatively large lateral forces and are the first
members to fail. Therefore, their lateral load deflection curves have significant influence on seismic assessment.
Short columns belong in the category of short and deep members, the shear strength of which, under current ACI
318-11 (2011) requirements, should be determined based on strut-and-tie models. According to experiments
(Huang and Hwang 2008; Li et al. 2013) conducted on short columns with a height-to-depth ratio less than 2, the
force transfer mechanism in short column members is consistent with the strut-and-tie model. Shear failure of
short columns is presented in concrete crushing at the ends of struts, which is different from typical columns.
Therefore, Li et al. (2013) suggested that Softened Strut-and-Tie model (SST model) be used to estimate the
shear strength of short columns and reasonable results can be obtained.
Because high strength reinforced concrete building in Taiwan is still in developing stage, there is seldom test
data of reinforced concrete columns using high strength materials. However, a five-year national research project
was given impetus from 1988 to 1992 in Japan, the so-called Japanese “New RC Project” (Aoyama 2002). Lots
of manpower and resources were put to develop high strength steel and high strength concrete that applied on
high-rise buildings. In view of the advanced development of high strength reinforced concrete in Japan, therefore,
this paper adopts experimental data of high strength reinforced concrete columns in Japan to validate the
suitability of Softened Strut-and-Tie model which is applied to high strength materials. Moreover, the shear
response evaluation formula of high strength reinforced concrete members will be introduced and commented its
���������������������������������������� ��������������
1 PhD Candidate,National Taiwan University, Taiwan, e-mail: [email protected]
2 Professor, National Taiwan University, and the deputy director, National Center for Research on Earthquake Engineering, Taipei, Taiwan,
e-mail: [email protected]
��������������� ������������������������������������������������� �
� �
�������
� �
� �
� �
� �
� �
��������������������������� ����������� �����������������������������������������������
������������������������� ���
������������
�� ���������������������������������� � ��������������!�����"����������������# �������$� %��������&�������'�������������������������� � ��������������!���
COLLAPSE CAPACITY OF STEEL MOMENT-RESISTING FRAMES WITH
HYSTERETIC ENERGY DISSIPATING SYSTEMS DESIGNED ACCORDING TO
ASCE 7-10
Hyung-Joon KIM1, Dong-Hyeon SHIN
2, and Jin-Young PARK
3
SUMMARY
Recently, hysteretic energy dissipating systems (HEDSs) have been increasingly used for steel
moment-resisting frames (SMRFs) to reduce structural seismic demands and to avoid structural
damage on typical structural members such as beams and columns. In parallel with such
applications of HEDSs, ASCE 7 introduces a simplified seismic design methodology for
structures employing energy dissipating systems. The design methodology allows both an
equivalent lateral force procedure and a response spectrum procedure that are similar to the
seismic design procedures for typical structures without energy dissipating systems. This paper
investigates the collapse capacity of SMRFs with HEDSs and compares with that of typical
SMRFs. To do this, 6-story prototype SMRFs with and without HEDSs were chosen and designed
according to the current seismic code, ASCE 7-10. Incremental dynamic analyses of both frames
were carried out using an ensemble of historical earthquake records. The analyses show that
compared with the corresponding SMRF without HEDSs, the SMRF with HEDSs presents the
excellent median collapse margin ratio and the narrow variation of collapse points due to the
record-to-record variation. Under maximum considered earthquakes, the SMRF with HEDSs
collapses with the probability with less than 10%, which FEMA P-695 suggests as one of criteria
for the collapse capacity of new building structures designed according to the current seismic
code.
Keywords: hysteretic energy dissipating systems (HEDSs), steel moment-resisting frame (SMRFs),
ASCE 7-10, incremental dynamic analyses (IDA), collapse capacity
INTRODUCTION
Energy dissipating systems have been developed and have been applicable to building construction for seismic
hazard reduction. They absorb or dissipate seismic input energy throughout specially designed devices which fall
into two categories; displacement-dependent and velocity dependent devices. Each device has its own intrinsic
characteristics that should be fully understood by structural engineers who expect to implement to practical
applications. Of various energy dissipating systems, hysteretic energy dissipating systems (HEDSs) have been
increasingly used for steel moment-resisting frames (SMRFs) to reduce structural seismic demands and to avoid
structural damage on typical structural members such as beams and columns. This is due to the fact that the high
stiffness and strength, and excellent energy dissipating capacities of HEDSs decrease relatively large seismic
displacement demands which flexible steel moment-resisting frames usually suffer during strong ground motion.
The typical hysteretic energy dissipating devices are steel yielding dampers making advantage of plastic energy
due to their yielding mechanism and friction dampers envisioned to dissipate seismic input energy throughout
frictional mechanism.
As such advantages of HEDSs are recognized and their application is popular, ASCE 7 introduces a simplified
1 Associate Professor, Department of Architectural Engineering, University of Seoul, Korea, e-mail: hyungjoonkim@ uos.ac.kr 2 Graduate Student, Department of Architectural Engineering, University of Seoul, Korea, e-mail: [email protected] 3 Graduate Student, Department of Architectural Engineering, University of Seoul, Korea, e-mail: [email protected]
SEISMIC PERFORMACNE OF SELF-CENTERING DESINGNED
CONCENTRICALLY BARCED FRAMES
Chin-Tung CHENG1 and Chia-Yi YEN
2
SUMMARY
Generally seismic force is resisted by the diagonal braces in the Concentrically Braced Frame (CBF).
However, large residual deformation after earthquakes makes the structure difficult to repair. Therefore, this
paper investigates the feasibility of applying a self-centering function on CBF to reduce the residual
deformation after the earthquakes. Similar to literatures, beam-column interfaces are separated so that beams
can rock on the column face without inducing any damage during earthquakes. Seismic energy is dissipated
through the friction dampers installed on beam bottom flange or on the braces. Investigation parameters
include types of dampers, various normal force and frictional materials such as brass or phosphor bronze
applied on dampers. To validate the proposed idea, a full-size one storey-one span CBF was constructed and
tested under lateral cyclic reversed loads. Test results show that the self-centering function on CBF can be
achieved with little residual deformations and adequate seismic performance. Among all tests, it can be seen
that friction dampers with phosphor bronze installed on the brace dissipated more energy than the other types.
And, proposed analytical model could predict the force and displacement relations of the self-centering
designed CBFs, except the frame with dampers installed on the beam bottom flange.
Keywords: Concentrically Braced Frame, Self-centering, Friction Damper.
INTRODUCTION
In general, braced frame can be characterized into following categories: Special Concentric Braced Frame
(SCBF), Buckling Restrained Braced Frame (BRBF) and Eccentric Braced Frame (EBF). This research aims to
investigate the seismic behavior of CBF with supplementary energy dissipating devices. To resist the lateral
loads, braced frames have the advantages of reducing the self-weight of structures. Due to the increase of the
lateral stiffness, the structural drift in braced structures may be significantly reduced to meet the requirement of
performance-based design. However, large amount of residual deformation results in difficulty in repairing the
structure after earthquakes.
This paper investigates the feasibility of the self-centering function in order to avoid the damage due to
earthquakes for CBF. Regarding the research of self-centering function in structures, Mander and Cheng (1997)
have proposed a seismic design concept referred to as Damage Avoidance Design for bridge piers in 1997. In
2002, Christopoulos et al. investigated feasibility of self-centering function applied for the steel structures, using
post-tensioned strands to connect beams and columns. Test results showed that connections did have
self-centering function and provided buckling restrained high strength bar, which showed enough energy
dissipation capacity. However, its fan shape hysteretic loop had less energy dissipation capacity than the
traditional one with elasto-plastic hysteretic loop. Similar research was done by Ricles et al. (2002), steel
angles were applied to dissipate energy in concrete-filled steel tubular connections. Tsai et al. (2008) used
friction force to dissipate seismic energy in self-centering steel structures.
In this research, similar to literatures that separated the beam on column faces (rocking interface) to release its
1 Professor, Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan , e-mail: [email protected] 2 Graduate Student, Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan.
NUMERICAL ANALYSIS OF COLLAPSING BEHAVIOR FOR MULTI-STORY
STEEL MOMENT FRAMES CONSIDERING STRENGTH DEGRADATION BY
LOCAL BUCKLING
Seiji Mukaide1 and Motohide Tada
2,
SUMMARY
In this paper, parametric analyses with fishbone shaped model considering strength deterioration
of members are conducted in order to investigate the complete collapse behavior of steel moment
frames. COF and width-thickness ratio et al. are adopted as parameters. In the greater part of
cases, the collapse mechanism varies from the total collapse type to the story-collapse type due to
strength deterioration by local buckling. The analytical results show that the collapse mechanism
at the time of the complete collapse affects the energy capacity.
Keywords: seismic response analysis; complete collapse; collapse mechanism; column
overstrength factor.
INTRODUCTION
An accurate prediction of earthquake is unrealized with current technology, and exceedingly large ground
motions sometimes wreak very heavy damage, for example, the 1994 Northridge, the 1995 Kobe and 1999 Jiji
earthquakes. It is beneficial to evaluate not only structural performance under design-level ground motions but
also the safety margin against complete collapse under larger ground motions than current seismic code.
However, there are few studies on complete collapse of steel moment frames.
A shaking table test on a full-scale steel building was conducted at the E-Defense three-dimensional shake table
facility (Yamada et al 2008 and Suita et al 2008). The specimen is a 4-story moment resisting frame. By 40% and
60% scaled Takatori records of Kobe earthquake, which corresponds to the level 2 and larger seismic load,
maximum inter-story drift exceeds 0.01 radians and the mechanism of the moment frame was total collapse
mechanism. By 100% Takatori records, the mechanism of the specimen changed to a story-collapse type
mechanism in the first story by strength deterioration of columns due to local buckling at the top and bottom
ends, and the specimen collapsed.
Numerical simulation of collapsing behavior for complete collapse specimen at E-defense was conducted by
Tada et al (2010). The collaborative structural analysis (CSA) system was utilized for the purpose of the
simulation, which is capable of performing highly sophisticated structural analysis by utilizing the beneficial
features of existing individual structural analysis programs. The host program, NETLYS, can deal with
geometrical and material nonlinear analysis, and one of the station programs, MARC, can simulate the
deteriorating post-buckling behavior in detail. The analytical results were compared with shaking table test
results to show the reliability of analysis.
Strength degradation has recently been taken into consideration in response analysis with one-dimensional
mass-spring systems (generally called ‘single or multiple degrees of freedom systems’) by researchers. However,
a fishbone shaped model is more suitable models for nonlinear response analysis than these systems because the
1 Assistant Professor, Graduate School of Engineering, Osaka University, Japan, e-mail: [email protected] 2 Professor, Graduate School of Engineering, Osaka University, Japan, e-mail: [email protected]
SEISMIC PERFORMANCE AND FINITE ELEMENT ANALYSIS OF A NOVEL
STEEL DUAL-CORE SELF-CENTERING BRACED FRAME
Chung-Che CHOU1, Ying-Chuan CHEN
2, Dinh-Hai PHAM
3, Alexis R. Ovalle BEATO
3, Tsung-Han WU
3
SUMMARY
A new steel dual-core self-centering brace (SCB) has been developed with a flag-shaped
re-centering hysteretic response under cyclic loads. Axial deformation capacity of the brace is
doubled by serial deformations of two sets of tensioning elements arranged in parallel in the brace.
The mechanics and cyclic behavior of the brace are first explained; 5350-mm long dual-core
SCBs are tested and modeled to evaluate their cyclic performances. All SCBs exhibit excellent
performance up to a drift of 2.5% with a maximum axial load of 1300 kN. A three-story braced
frame with dual-core SCBs as an earthquake-resisting mechanism is designed and analyzed using
20 ground motion records to obtain seismic demands. A test program for a one-story braced frame
with the proposed dual-core SCB is planned in early 2104. Finite element analyses are first
conducted on the one-story self-centering braced frame (SCBF), moment-resisting frame (MRF),
and buckling restrained braced frame (BRBF) to evaluate their cyclic performances.
Keywords: Dual-Core Self-Centering Brace; Cyclic Test; Frame Test; Finite Element Analysis.
INTRODUCTION
Extensive research has been devoted in the last two decades to improve the seismic performance of steel braced
frames. A Buckling-Restrained Braced (BRB) has been developed to provide energy dissipation without
buckling as seen in the specially Concentric Braced Frame (CBF). A strong gusset connection which considers
both the brace and frame action effects on the gusset is proposed to ensure stable energy dissipation of the BRB
(Chou and Liu 2012, Chou et al. 2012a, 2012b). However, under earthquakes, both braced frames are prone to
residual lateral deformations over the building height (Fahnestock et al. 2003, Uang and Kiggins 2003). A
post-tensioned (PT) self-centering (SC) moment frame that uses post-tensioning steel tendons to compress
beams against columns has been proposed as a new system to minimize residual lateral deformations of the
frame (Ricles et al. 2001, Christopoulos et al. 2002, Chou et al. 2006). Static and dynamic tests of steel SC
moment frames confirm their good SC property and energy dissipation as seen in nonlinear time-history analyses
of the frames (Chou and Chen 2010a, 2010b, 2011a). Christopoulos et al. (2008) proposed a Self-Centering
Energy-Dissipating (SCED) brace, which uses two steel bracing members for compression, friction devices for
energy dissipation, and one set of FRP tensioning elements for the SC property. Chou et al. (2012c, 2012d) and
Chou and Chen (2012, 2013) proposed a new dual-core self-centering brace (SCB), which uses an additional
inner core and a second parallel set of PT elements in the brace to double the self-centering deformation capacity
of the SCED brace. The same design concept was adopted in the T-SCED brace (Erochko et al. 2012) and
validated with different bracing member geometry, layout, and types of FRP tendons.
The proposed dual-core SCB increases the potential applications of PT elements with low elastic strain capacity
such as steel strands, glass fibers, or carbon fibers. After introducing the mechanics and hysteretic responses of
the dual-core SCB, this study presents the results of cyclic tests of several dual-core SCBs. A three-story frame
1 Professor, Department of Civil Engineering, National Taiwan University, Taiwan, e-mail: [email protected]
Director, Center for Earthquake Engineering Research, National Taiwan University, Taiwan Research Fellow, National Center for Research on Earthquake Engineering, Taiwan
2 Research Assistant, Department of Civil Engineering, National Taiwan University, Taiwan 3 Graduate Student Researcher, Department of Civil Engineering, National Taiwan University, Taiwan
Lateral-Force Resisting Mechanisms of Flexure-Dominant
Multi-Story Structural Walls with Soft-First-Story
Yuki IDOSAKO1, Masanobu SAKASHITA
2, Xiaoshan FENG
3and Minehiro NISHIYAMA
4
SUMMARY
This paper presents lateral-force resisting mechanisms of flexure-dominant multi-story structural
walls with a soft-first-story. Two reinforced concrete specimens consisted of the soft-first-story
and the 3-story structural wall were constructed in 30% scale and tested under cyclic loading to
simulate earthquake motions. The test variable was the longitudinal reinforcement ratio in the
boundary beam of the 2nd floor, which was 1.19% or 2.56%. The structural walls yielded in
flexure as intended, which, however, did not result in the concentration of deformation only on
the 2nd
story. This is because the boundary beam yielded in flexure and other yielding mechanisms
were formed. The mechanism needed large drift angle of approximately 2% to attain the design
load capacity. The difference in load capacity between the two specimens was not of significance.
The beam strength was not sufficient to resist the moment acting when the shear wall yielded in
flexure. The beam-column joint on the 2nd
floor failed and the specimens were not able to sustain
the axial load.
Keywords: RC building; soft-first-story; multi-story structural wall; flexural yielding; collapse
mechanism.
INTRODUCTION
In the previous earthquake disasters, collapse or severe damage has been observed in soft-first-stories of many
RC buildings which had structural walls in the upper stories. More specifically, columns in soft-first-stories
failed in flexure or shear due to the difference in stiffness from the upper stories. Those cases in 1978 Miyagi
and 1995 Kobe earthquake are well known in Japan.
One of the solutions to prevent the collapse or the severe damage is to avoid the concentration of deformation in
the first story that is less stiff and weaker than the upper stories. This goal is achieved by making the upper walls
fail in flexure or shear. For the case that the upper walls fail in shear, various investigations have been carried
out by Ichinose et al. (e.g., 2012) and a design method is being established. On the other hand, experimental
researches for the case that the upper walls fail in flexure are not enough. It is assumed that the boundary beams,
which sustain flexure-dominant multi-story structural walls, are subjected to large moment (acting from shear
walls, the top of columns of the 1st floor, and so on.) when the upper walls reach their flexural yielding strength.
There are some suggestions but no clear rules to design the boundary beam in AIJ Standard for Structural
Calculation of Reinforced Concrete Structures (2010). Those boundary beams currently designed might be not
strong enough to resist such acting moment, which leads to a different collapse mechanism from designed. To
investigate the issues above, the authors constructed two 3-story structural walls with the soft-first-story and
conducted cyclic loading tests simulating seismic loads.
1 Graduate student, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected] 2 Assistant Professor, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected] 3 Graduate student, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected] 4 Professor, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected]
EFFECT OF AXIAL COMPRESSION ON SHEAR STRENGTH OF REINFORCED
CONCRETE COLUMNS WITH HIGH-STRENGTH STEEL AND CONCRETE
Yu Chen OU1, and Dimas Pramudya KURNIAWAN
2
SUMMARY
In total, 77 high-strength columns having concrete compressive strength anging from 73.5 to 200 MPa
with shear failure were collected from this study and literature and evaluated using ACI 318 shear
strength equations. Axial compressive stress is ranging from 0.1 to 0.6 '
cf . Evaluation results shows
that the ACI simplified shear strength equation provided conservative estimation for most of the
columns except for 4 columns that were tested under high axial compression. The ACI detailed shear
strength equation yielded non-conservative prediction for 48 columns. Modification of ACI 318 shear
strength equations was proposed to consider the interaction between concrete shear strength and axial
compression. The proposed shear strength equation yielded conservative prediction for most of the
columns.
Keywords: reinforced concrete columns�� ������� ������� �� ��� ����������� ������� high-strength
���������������gh-������������������������������������������cracking strength.
INTRODUCTION
The advantages of high-strength concrete and steel have been perceived in practical use. Dimension of columns in
lower stories of tall buildings can be reduced to increase available floor area and reinforcement congestion can be
relieved. Advanced technology has enabled the development of high-strength materials in many countries e.g. Japan
and Taiwan. For instance, high-strength concrete with specified compressive strength up to 100 MPa, deformed
reinforcement with specified yield strength of 685 MPa and 785 MPa for main and transverse reinforcement,
respectively, have been commercially available in Taiwan. However, in shear design for columns, the current ACI
Building Code (ACI 318M-11 2011) limits concrete compressive strength ( '
cf ) to 70 MPa (ACI 318-11 11.1.2) due
to lack of data and practical experience with '
cf ≥ 70 MPa. Moreover, yield strength of shear reinforcement is
limited to 420 MPa (ACI 318-11 11.4.2) to control diagonal crack width and ensure yielding of shear reinforcement
before shear failure (Lee et al. 2011).
The ACI code (ACI 318M-11 2011) shear strength equations for non-prestressed members subject to axial
compression were developed based on research (Baldwin and Viest Nov. 1958, Baron and Siess June 1956, Diaz de
Cossio and Ciess Feb. 1960, Morrow and Viest Mar. 1957) with 67 specimens having axial compressive stress
ranging from 0.02 to 0.81 '
cf as reported by ACI-ASCE Committee 326 (ACI-ASCE Committee 326 Report 1962).
1 Associate Professor, Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan. E-mail:
[email protected] 2 Research Assistant, Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan.
PUNCHING SHEAR DESIGN METHOD OF KCI 2012
Kyoung-Kyu CHOI1 and Hong-Gun PARK
2
ABSTRACT
For he new version of the Korea Concrete Institute design code, KCI committee 103
developed a new punching shear design method to accurately predict the punching shear strength
of slab-column connections subjected to direct punching shear and unbalanced moment. Unlike
the majority of current design codes using empirical methods, the proposed method was based on
material failure criteria of concrete. Basically, flat plate slabs are a flexural member where usually
punching shear failure occurs after flexural cracking and yielding of the slab. Thus, the effect of
the slab flexural damage was considered in the definition of the punching shear strength. The
shear failure mechanism of the critical section was simplified as the failure of the compression
zone of the cross-section subjected to combined shear and compressive stresses. Thus, the
punching shear strength was defined as the function of the compressive stress and the
compression zone depth, which are affected by the slab flexural action. For the unbalanced
moment-carrying capacity, the punching shear strengths were defined differently at each face of
the critical section. The proposed strength model was applied to existing test specimens of interior
and exterior slab-column connections. The results showed that the proposed strength model
predicted the test results with reasonable precision.
Keywords: slab-column connections, punching shear strength, eccentric shear, unbalanced
moment.
INTRODUCTION
In flat plate structures, slab-column connections are susceptible to punching shear failure under strong
earthquake. In particular, exterior slab-column connections, which have smaller critical section and are subjected
to unbalanced moment by gravity load as well as lateral load, are vulnerable to punching shear failure.
Although various experimental and theoretical studies have been performed to investigate the failure mechanism
and structural performance of slab-column connections, the majority of current design methods still use
empirical design equations which were developed by parametric studies without firm theoretical background.
Such design methods are convenient in use for engineers. However, previous studies reported that current design
methods do not accurately predict the punching shear strength of existing test specimens. Furthermore, to expand
the application of the design methods to high strength materials and new materials in the future, substantial
amount of experimental evidences and parametric studies are required. For this reason, in KCI 2012 (2012),
development of a theoretical method was attempted to pursuit better accuracy in the strength prediction.
DIRECT PUNCHING SHEAR STRENGTH
Recent studies for slender beams with rectangular cross-section showed that the shear strength of concrete beams
is closely related to the depth of the compression zone. These results imply that after the tension zone is severely
1 Assistant Professor, School of Architecture, Soongsil Univ., 369 Sangdo-ro, Dongjak-gu, Seoul 153-743, Korea 2 Professor, Dept. of Architecture & Architectural Engineering, Seoul National Univ., 1 Gwanak-ro, Gwanak-gu, Seoul 151-744, Korea
Seismic Performance of Pre-tensioned Beams
Using Steel-Fiber Reinforced Concrete
Mitsuya MORI1, Hyeong Jae YOON
2 and Minehiro NISHIYAMA
3
SUMMARY
Pre-tensioned members have been used to control crack width and deflection under service load.
However, pretensioned members subjected to flexure tend to fail in compression in concrete,
which is brittle. In addition, they have larger crack spacing and crack width than ordinary
reinforced concrete members because of inferior bond properties of prestressing steel to deformed
steel bars, and this might cause durability problems. Steel-fiber reinforced concrete (hereafter
referred to SFRC) enhances the tensile properties of concrete. The drawbacks written above in
pre-tensioned members can be improved by using SFRC, which can result in higher performance
in terms of flexural resistance. This paper addresses the seismic performance of pre-tensioned
beams using steel-fiber reinforced concrete. Cyclic loading tests, which simulate earthquake
motions, were conducted on three pre-tensioned beams constructed with SFRC. The experimental
parameter was the volume fraction of steel fibers: 0.0, 0.5 and 1.0%. By using SFRC in
prestressted concrete beams, flexural strength and energy absorption capacity were improved, and
shear crack width was made smaller than in beams without SFRC. Equivalent viscous damping
was also improved by SFRC.
Keywords: seismic performance, prestressed concrete, steel-fiber reinforced concrete, pre-tension,
energy absorption capacity
INTRODUCTION
In recent years, Fiber Reinforced Concrete (hereafter referred to FRC) material has been developed and studied
for application to structural members. A property of this material is Pseudo-Strain-Hardening behavior (hereafter
referred to PSH behavior) caused by the distribution of multiple fine cracks under tensile stress (Kunieda et al.
2006, Suwada et al. 2006, 2007, Fisher et al. 2003). Fibers have been used to enhance tensile characteristics of
concrete by suppressing crack growth (Bilal S. 2001). Concrete with fibers is characterized by its fiber content.
The fiber content is the weight of fibers per unit volume in concrete, it is the product of the volume fraction Vf
(volume of fibers per unit volume of concrete) and the specific gravity of the fibers. It is still uncertain how the
tensile characteristics of FRC affect the flexural resistance mechanism of structural elements (Suwada 2006).
Various analytical and empirical methods have been proposed to predict the flexural strength of the composite
material reinforced with fibers (Swamy 1982, Henager 1976). Of all the fibers currently in use to reinforce
cement matrices, steel-fibers are the only fibers that can be used for carrying long-term load (Swamy et al. 1982,
Padmarajaiah et al. 2001).
Prestressed concrete requires the concrete to attain high compressive strength at an early age. In addition to its
higher compressive strength, high-strength concrete possesses an increased tensile strength, and reduced
shrinkage and creep strains than normal-strength concrete. High-strength concrete has been found, however, to
1 Graduate Student, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, email: [email protected] 2 JSPS Research Fellow, Department of Architectural Engineering, Kyoto University, Japan, email: [email protected] 3 Professor, Dr.Eng., Department of Architectural Engineering, Kyoto University, Japan, email: [email protected]
ANALYTICAL MODEL FOR LOAD-DISPLACEMENT CURVE OF SLENDER
MASONRY PIERS
Yi-Hsuan TU1 and Tsung-Hua CHUANG
2
SUMMARY
Slender unreinforced masonry (URM) piers subjected to in-plane lateral loading usually exhibit
rocking behavior. The rocking strength is found to be proportional to the vertical force applied on
the pier and therefore can be estimated from given vertical force. For example, the equation for
rocking strength in FEMA 356 can provide quite accurate estimation. However, the
load-displacement relationship of rocking piers was not clear. The vertical force applied on a pier
with fixed vertical boundary is also difficult to determine.
This paper presents a displacement-based analytical model for the load-displacement curve of
slender URM piers in rocking behavior. On the basis of two-hinged arch mechanism, the model
calculates corresponding lateral load from given displacement. The load-displacement curve can
be derived for two different types of boundary conditions: constant vertical force or fixed vertical
boundary. The rocking strength is given by the maximum load in the curve, and the ultimate
displacement can be derived with assumed failing strain.
The proposed model has been validated with specimens tested by different researchers. The model
shows reasonable estimation for both strength and displacement. The comparison with
experimental load-displacement curves also indicates a good fit.
Keywords: unreinforced masonry, rocking, strength, load-displacement relationship, in plane.
INTRODUCTION
A pier is the vertical wall segment between two openings. As shown in Figure 1, piers may be found in a pure
masonry building or a confined masonry (CM) building when there is no tie members placed around the
openings. Magenes and Calvi (1997) summarized that the principal failure modes of unreinforced masonry
(URM) piers include rocking failure, shear cracking, and sliding. Piers failed in rocking have tensile bed-joint
cracks and toe crushing at the compressive corners. Shear cracking shows as inclined diagonal cracks that follow
the path of bed- and head-joints and may go through the bricks. Sliding happens along the cracked bed-joints; it
is possible for low level of vertical load or low friction coefficient. FEMA 356 (2000) proposes four failure
modes and corresponding equations for estimating the strength. The four modes include bed-joint sliding,
rocking, diagonal tension, and toe compression. Lee et al. (2008) studied the equations and concluded that the
failure mode is related to the axial stress and the aspect ratio. Slender panels tend to fail in diagonal tension if
they have higher axial stress, otherwise they fail in rocking. Squat panels with high axial stress usually fail in toe
compression and those with low axial stress fail in bed-joint sliding.
This paper is focused on the slender masonry piers that fail in rocking. Abrams et al. (2007) tested original and
retrofitted URM piers to evaluate the effectiveness of various rehabilitation techniques. However, the
experimental results suggest that rocking behavior may be equal to, or superior to that of retrofitted piers because
of the large ductility capacity. Lee et al. (2008) tested URM piers with different aspect ratio; the deformation
capacity increases as the aspect ratio increases. The authors (Tu et al. 2009, 2011) performed a series of lateral
1 Associate Professor, Department of Architecture, National Cheng Kung University, Taiwan, e-mail: [email protected] 2 PhD, Department of Architecture, National Cheng Kung University, Taiwan
PREDICTION OF FRACTURE OF STEEL MOMENT CONNECTIONS
SUBJECTED TO LONG PERIOD GROUND MOTIONS
Kouhei TAKATSUKA1, Keiichiro SUITA2 and Tsuyoshi TANAKA3
SUMMARY
Keywords: beam-to-column connection; deformation capacity; cyclic loading test; loading
protocol; crack propagation.
INTRODUCTION
------------------------------------------------------------------------------------------------1 Ph. D student, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected]
(Research Fellow of Japan Society for the Promotion of Science, DC)2 Professor, Dept. of Architecture and Architectural Engineering, Kyoto University, Japan, e-mail: [email protected] Professor, Dept. of Architecture, Kobe University, Japan, e-mail: [email protected]
PREDICTION OF LOW-CYCLE FATIGUE FRACTURE OF WELDED SEISMIC
STEEL MOMENT CONNECTIONS: A CONTINUUM DAMAGE MECHANICS
APPROACH
Jae-Hoon KIM1; Cheol-Ho LEE
2; Dae-Kyoung KIM
3; Dong-Guen LEE
4
SUMMARY
A continuum damage mechanics-based finite element approach was presented in this paper that
can be used to predict low-cycle fatigue fracture of welded seismic steel moment connections.
Many fracture mechanics-based approaches have been tried to predict cracking in welded seismic
steel moment connections after connection failure observed in the 1994 Northridge and 1995
Kobe earthquakes. However, studies which can realistically simulate the damage evolution due to
cyclic seismic loading have been very few. As an alternative, a damage mechanics approach is
used in this study to tackle connection fracture issue under cyclic seismic loading. The key
parameters required for the damage mechanics modeling were first calibrated in a hybrid manner
based on available material test data and associated numerical fracture simulation. The damage
rate modeling, originally proposed by Lemaitre, was also slightly modified considering the
compressive damage evolution. The fracture process of welded steel moment connections
subjected to cyclic seismic loading was then simulated by developing and incorporating the
damage analysis subroutine into the commercial code ABAQUS. The numerical predictions of
this study correlated well with full-scale cyclic seismic test results in terms of the instance and
location of fracture occurrence. The approach proposed can be used to supplement or replace
costly full-scale cyclic seismic testing.
Keywords: Damage mechanics; Fracture; Low cycle fatigue; Seismic; Welded steel moment
connections.
INTRODUCTION
After the unexpected steel connection fracture observed in the 1994 Northridge and 1995 Kobe earthquakes,
many experimental and analytical studies on fracture have been conducted. For example, El-Tawil et al. (1999)
tried to examine the effect of panel zone yielding on the potential for fracture of welded steel moment
connections based on detailed finite element analyses. In their study, a number of different stress, strain, and
combined stress/strain indices such as the pressure index and the rupture index were employed to compare the
potential for fracture for different connection configurations. However, this methodology should be considered
as a convenient way for qualitatively comparing different analyses since it does not account for the cyclic
damage accumulation due to seismic loading. For example, the key factors which affect fracture process such as
the plastic strain at which ductile damage starts to accumulate and a certain minimum characteristic length that
represents fracture are not accounted for in above indices.
The fracture of steel moment connections subjected to cyclic loading resulting from a strong earthquake is
1 Post-doctoral Researcher, Department of Architecture and Architectural Engineering, Seoul National University, Korea, e-mail:
[email protected] 2 Professor, Department of Architecture and Architectural Engineering, Seoul National University, Korea, e-mail: [email protected] 3 Graduate Student, Department of Architecture and Architectural Engineering, Seoul National University, Korea, e-mail:
[email protected] 4 Professor Emeritus, Department of Architectural Engineering, Sungkyunkwan University, Korea, e-mail: [email protected]
STRENGTH OF SELF-DRILLING SCREW CONNECTION USED IN STEEL
FRAMED HOUSE SYSTEMS
NOMINAL STRENGTH OF HOLD-DOWN COMPONENT CONNECTION
Atsushi SATO1, Takuya TORIYAMA
2, Hisayuki OKADA
3, and Tetsuro ONO
4
SUMMARY
Steel framed house is the structural system fabricated from light gage members, structural
plywood, and gypsum boards. Light gage framings are sheathed by structural plywood and
gypsum board panels, and self-drilling screws are used in the connections. Furthermore,
self-drilling screws are used to assemble the light gage framings. Thus mostly self-drilling
screws are used to connect components, the use of welding is extremely limited. In this system,
shear walls, i.e., lateral force resisting components, are tightened to the base by the anchor bolts
through hold-down components. The hold-down components, which will transmit the force to
the base, are also connected to framing (i.e., studs) by self-drilling screws. To guarantee the
seismic safety of the structure, the strength of the hold-down component connection must be
greater than the required strength. Current design formula overestimated the connection
strength; therefore, the design formula which can predict the connection strength in a reasonable
accuracy is needed. To clarify the strength of the hold-down connection, component tests were
conducted in this study. Finally, design formula is derived, and the accuracy of the formula is
verified by the test data.
Keywords: steel framed house; light gage; connection; self-drilling screw; eccentricity;
nominal strength.
INTRODUCTION
Steel framed house (SFH) is the structural system fabricated from light gage members, structural plywood and
gypsum boards (referred to as steel house). This system is similar to wood framed construction commonly
referred to as two-by-four system. SFH is the system where the timbers of the framing in two-by-four system
are replaced by light gage members. Moreover, thickness of the light gage is limited to less than 2.3mm in SFH
system. According to the Building Standard Law of Japan (BCJ 2013), SFH system can be used up to four
story buildings. To design the middle story buildings, shear walls are installed to resist the lateral forces, e.g.,
seismic forces, and the shear wall in the first floor shall be connected to the base to transmit these forces.
Usually, hold-down components are used to connect the shear wall with the anchor bolt which is embedded in
the base. Fig.1 shows the detail of the hold-down connection in SFH system. As can be seen from Fig.1,
hold-down component is connected to the stud by self-drilling screws; the axial force from the stud (shear wall)
will be transmitted by shear at the screws to the hold-down component. To guarantee the structural safety, the
connection strength of the hold-down component must be greater than required strength in the ultimate stage.
If fracture will occur in the connection, this phenomenon will directly connect to the structural failure.
Therefore, it can be said that the hold-down connection is one of the most important structural element in the
system.
1 Associate Professor, Dept. Scientific and Engineering Simulation, Nagoya Institute of Tech., Japan, e-mail: [email protected] 2 Graduate Student, Dept. Scientific and Engineering Simulation, Nagoya Institute of Tech., Japan, e-mail: [email protected] 3 Professor, Dept. of Architecture, Aichi Institute of Tech., Japan, e-mail: [email protected] 4 Professor, Dept. of Human Science, Sugiyama Jogakuen University, Japan, e-mail: [email protected]
SELF-CENTERING OF POST-TENSIONED COLUMN BASE
Cheng-Chih CHEN1, Huan-Wei LIN2, and Rung-Shiuan TSAI3
SUMMARY
This research aims to investigate the seismic behavior of a post-tensioned steel column base with
friction dampers, and study the effects of initial post-tensioned force of strands and energy
dissipation dampers. The column and foundation was joined by using high-strength strands to
provide self-centering behavior, and the friction type energy dissipation dampers were used to
provide hysteretic behavior. Therefore, the subassembly possessed characteristics of
self-centering and no residual deformation. The behavior of the joint was established analytically
and experimentally. The results demonstrated that increasing post-tensioned force of the bolts
used for friction dampers could effectively increase the area of the energy dissipation. The friction
dampers installed at the column flange rather than column web led to better energy dissipation
behavior and more economic. The column base connection, with friction dampers, possesses
self-centering, gap opening and closing at the column-to-foundation interface, energy dissipation
characteristics, and no residual deformation of the column. Moreover, analytical prediction
correlated well with experimental results.
Keywords: post-tensioned, self-centering, energy dissipation, friction damper, foundation.
INTRODUCTION
In high seismic regions, special moment frames are generally used to resist forces exerted by earthquake.
Structural members will undergo inelastic behavior during a major earthquake. Plastic hinges formed on beams
will be expected to dissipate energy. As a result, residual deformation of the frames will occur and cause
problems such as functions of the structures and retrofitting of the damaged frames. Therefore, post-tensioned
frames have been developed (Sause et al. 2006; Garlock et al. 2007) to achieve no residual drifts of the frame
after the earthquake. Post-tensioning force is employed to join the beam and column members as well as the
column and foundation. The self-centering beam-to-column connections have been intensively studied (Ricles et
al. 2001 and 2002; Christopoulos et al. 2002; Chou and Lai 2009). Chi and Liu (2012) recently studied the
post-tensioned column base connection using buckling restrained steel plates as energy dissipator. The
post-tensioning forces applied through strands will provide restoring forces and accomplish the self-centering
nature of the frames. Friction dampers are one of the effective means to dissipate energy. Friction devices are
used in either braces or beam-to-column connections (Rojas et al. 2005; Zhu and Zhang 2008; Kim and
Christopoulos 2008; Wolski et al. 2009).
In this paper, post-tensioned column base connections are evaluated analytically and experimentally. After
determining the friction coefficient by bolted friction tests, friction dampers were incorporated at the column
base to dissipate earthquake induced energy. A steel column was post-tensioned and fasten to the reinforced
concrete foundation using strands. Hysteretic behavior of the column base connections was analytically
established, and large-scale test was conducted to elucidate the cyclic behavior.
1 Professor, Dept of Civil Eng., National Chiao Tung University, Taiwan, e-mail: [email protected] 2 Graduate student, Dept of Civil Eng., National Chiao Tung University, Taiwan, e-mail: [email protected] 3 Graduate student, Dept of Civil Eng., National Chiao Tung University, Taiwan, e-mail: [email protected]
BI-DIRECTIONAL LATERAL BEHAVIOR OF POST-TENSIONED CORNER
SLAB-COLUMN CONNECTIONS
Thomas H.-K. Kang1
SUMMARY
The behavior of post-tensioned (PT) “corner” slab-column connections was rarely studied. This
study performs in-depth research for better understanding of complicated moment and shear
transfer mechanism at PT corner slab-column connections. Literature was reviewed and finite
element simulations were performed on two previously tested isolated PT corner connections,
which were subjected to bi-directional reversed cyclic deformations. The documented seismic test
results, along with the finite element simulations, provide an innovative way to review the scarce
test data in detail. Using such a unique approach, the shear-moment transfer mechanism at PT
corner connections and the eccentric shear stress model, which was used in ACI 318 punching
shear provisions, were assessed in depth. Particularly, the bi-directional lateral behavior during
various drift levels was closely observed.
Keywords: Post-tensioned concrete; bi-directional lateral behavior; slab-column connection;
corner connection; nonlinear finite element modeling.
INTRODUCTION
Post-tensioned (PT) concrete is essential in many applications today in order to fully utilize concrete
compressive strength and steel tensile strength especially in cast-in-place concrete construction, and through
proper design, to control cracking and deflection. Although design methods have been developed over the
decades, an understanding of the ultimate mechanism in the PT concrete system is still greatly needed in many
aspects. Such aspects include the intricate problems of punching shear failure of a PT two-way slab system.
However, it is expensive and time-consuming to perform extensive experimental tests on each prototype. The
finite element method can be developed to supplement the experimental research. The efforts and developments
made by many pioneering researchers over the past five decades have enabled the finite element method to
become a versatile and powerful approach in structural analysis of PT structures. The principal goals of this
study are to develop modeling schemes for corner PT slab-column connections that were tested by Moehle et al.
(1994) based on general purpose finite element packages and to evaluate the current building code regarding the
corner PT connections.
PREVIOUS EXPERIMENTAL PROGRAM
Moehle et al. (1994) investigated two 3/7 scale isolated corner PT connections (Fig. 1). The slabs with the corner
connection had an overall length of 2.17 m in each direction and 92 mm thickness. The corner connection was in
the south-west corner, whereas other corners of the slab were supported by pin connections simulating an
inflection boundary in the prototype structure. Additional dead loads were applied to the slab before testing to
achieve the desired gravity load in the column at the initialization of the test. Bi-directional reversed cyclic
loading was applied to the column top with several cycles of different drift ratios for the purpose of simulating
1 Associate Professor, Seoul National University, Korea, e-mail: [email protected]
CONFINEMENT EFFICIENCY OF HIGH STRENGTH STEEL FIBER IN HIGH
STRENGTH CONCRETE
Wen-Cheng Liao1, Yao-Jen Kuo
2, En-Jui Liu
2
ABSTRACT
This study presents the improvement of mechanical properties and confinement efficiency of
high strength concrete by adding high strength steel fibers. Due to brittleness of high strength
concrete, more confinement is needed to enhance the ductility and satisfy seismic requirements
for high strength reinforced column, particularly under high axial loading demands. Furthermore,
early cover spalling trigs substantial compressive strength loss and thus sudden failure occurs.
Many studies show that addition of steel fibers can not only effectively prevent the early cover
spalling, but also increase the toughness and ductility of high strength concrete.
The relationship between the toughness and three main fiber parameters, including fiber volume
fraction, aspect ratio and bond strength between fiber and matrix, is investigated in this study.
The confinement efficiencies in terms of toughness ratio provided by steel fibers or stirrups of
the high strength steel fiber reinforced concrete are also conducted and verified with
experimental data. The toughness ratios of high strength steel fiber reinforced concrete columns
obtained from the proposed regression equations are in good agreement with those got from the
test results.
Keywords: compressive ductility, confinement efficiency, high strength concrete, steel fiber,
toughness ratios, steel fiber reinforced concrete, transverse reinforcement
INTRODUCTION
The nature of high strength concrete, HSC, presents brittle failure right after ultimate compressive strength
loaded. The compressive strength of HSC suddenly drops to almost zero without any ductility while stress level
beyond its capacity. In current reinforced concrete design concept, transverse reinforcement is commonly used
to provide the toughness of concrete in compression. The lateral expansion of concrete resulting from
compression can be well confined by the hoop tension from transverse reinforcement. The enhancement of the
compressive toughness by using transverse reinforcement is reflected by the decrease in the slope of the
descending branch of the stress-strain curve of concrete in compression.
The addition of fibers can be an alternative to turn the brittle nature of HSC to ductile responses in compression.
Several researches show that the addition of fibers to HSC can not only enhance the tensile strength but
significantly improve the compressive toughness of HSC. Song and Hwang (2004) investigated the compressive
stress and strain relationships of fiber reinforced high strength mortars with different volume fractions of
hooked-end steel fibers. The results show that the addition of fibers with the volume fraction of 1.0% and 1.5%
increase the 11.8% and 15.0% of ultimate compressive strengths, 50.0% and 86.2% of splitting tensile strengths,
57.8% and 92.0% of modulus of rupture, respectively. While only around 10 ~15% improvement on the
ultimate compressive strength, the enhancement on the splitting tensile strength and bending strength is much
1Department of Civil Engineering at National Taiwan University, Taiwan, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617 Taiwan, [email protected] of Civil Engineering at National Taiwan University, Taiwan, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617 Taiwan.
STRUCTURAL BEHVIOR OF RC BEAM-COLUMN ASSEMBLAGES
Jung-Yoon Lee1, Jongwook Park
2, and Mohamad Y. Mansour
3
SUMMARY
Since RC beam-column joints are crucial elements in the survival of RC frame structures, a brittle
failure such as that associated with shear failure or bond failure in the joints must be avoided. RC
frame-structures, designed according to present building codes, are expected to deform well into
the inelastic range and dissipate high energy through stable hysteretic behavior when subjected to
seismic loading. Various experimental studies of RC beam-column joints indicated that the
slippage of the steel reinforcements, concrete strength deterioration, and strain penetration of
beam-column assemblages affect the structural response of the RC joints subjected to seismic
inelastic loading. Since 1970’s many research has been conducted to predict the strength of RC
beam-column joints. However, most of the previously conducted research focused on predicting
the strength of the RC joint. Limited research was carried out to evaluate the deformation capacity
of an RC joint. This paper presents the results of an analytical and experimental study aiming on
predicting not only the strength but the deformation of RC joints failing in shear, after plastic
hinge develop at the end of the adjacent beams. Thirty five experimental results of RC joints
reported in the technical literature were compared with the deformation as predicted by the
proposed method. Comparisons between the observed and calculated deformation capacities of
the considered RC beam-column joint assemblies showed reasonable agreement.
Keywords : RC beam-column joints; deformation; strain penetration; strength
degradation
INTRODUCTION
Beam column joints are critical regions in multi-story moment resisting reinforced concrete frames subject to
inelastic response under severe seismic attack. For seismic moments in columns and beams act in opposite
directions across the joint, the beam-column joint is subjected to horizontal and vertical shear forces whose
magnitude is often many times higher than those found in the adjacent beams and columns. Since joints are also
connecting elements of the load carrying columns, a brittle failure such as shear or bond failure in the joints must
be avoided. Therefore, in the design of the reinforced concrete beam-column joints against seismic load, it is
desirable to limit joint strength degradation until the ductility capacity of the beam reaches the designed capacity
[1, 2]. In addition, in order to develop an improved method for predicting the nonlinear response of multistory
reinforced concrete (RC) frames subjected to seismic loading, the displacement contribution to story drift of the
individual structural components such as beams, columns, and joints should be considered. In particular, because
the slippage, strength deterioration, and strain penetration of beam-column assemblages effect on the dynamic
response of the RC frames subjected to large cyclic deformation reversals, the structural response of RC
beam-column joints should be considered.
Before 60’s, columns, beams and walls exhibited the most damage by the earthquake, not joints. However,
1 Professor, Sungkyunkwan University, Republic of Korea, e-mail: [email protected] 2 Engineer, Lotte Engineering and Construction Lnc, Republic of Korea e-mail:[email protected] 3������������������ ������ ��� ����
(* This paper is a part of the paper submitted to the ACI structural journal [2])
SEISMIC STRENGTHENING WITH A NEW STEEL DEVICE FOR R/C EXTERIOR
BEAM-COLUMN JOINTS
Yuebing LI1, Yasushi SANADA
2, Yasuhiro WATANABE
3, and Takuya TOMONAGA
3
SUMMARY
A large number of reinforced concrete (RC) buildings designed for gravity loads according to
older seismic design code exist even in regions of moderate seismicity, and some of them contain
no transverse reinforcement in the beam-column joints. The ultimate purpose of this research is to
propose a seismic strengthening method for this kind of joint that is acceptable for economic and
technical conditions in developing countries. In this feasibility study to clarify the necessary
design conditions for strengthening, a new seismic steel device was designed and implemented to
improve the seismic performance of beam-column joints. Two 3/4 scale specimens simulating
exterior beam-column joints without transverse reinforcement were constructed, one was not
strengthened as a control specimen and the other was strengthened by the proposed device. The
specimens were tested under static cyclic loading with a new experimental technique using
shortened beam-exterior column joint specimens, which was also presented in this paper. The test
results showed that the un-strengthened control specimen reached its ultimate strength without
yielding of beam/column and behaved in a typical manner of joint failure. Nevertheless the
strengthened specimen exhibited ductile failure modes with a beam yielding preceded. The
strengthened specimen exhibited more than twice the strength of un-strengthened one as well as
much higher ductility. Effectiveness of the seismic strengthening device proposed in this study
was experimentally examined, which means that the design concept also presented herein can be
applied to seismic strengthening for this kind of structure.
Keywords: reinforced concrete, RC, exterior beam-column joint, steel device, seismic
strengthening
INTRODUCTION
According to the damage investigation (Sanada, 2009) of the 2009 Sumatra earthquake occurred in Indonesia, a
large number of relatively large-scale reinforced concrete (RC) buildings, including engineered structures,
suffered great damage. One typical damage to RC structures is failure of beam-column joints where no
transverse reinforcement was provided. Because many old buildings with this kind of joints exist even in the
regions of moderate seismicity, developing of effective and reasonable seismic strengthening method for such
existing buildings is urgently needed.
Many studies have been conducted on seismic strengthening of this kind of beam-column joints using steel prop
(Kazem et al, 2012), GFRP sheets (Ghobarah and Said, 2002), haunches (Giovacchino, 2012), etc. and
significant strengthening effectiveness have been achieved. *
1 PhD Candidate, Department of Global Architecture, Graduate School of Engineering, Osaka University, Japan,
[email protected] Associate Professor, Department of Global Architecture, Graduate School of Engineering, Osaka University, Japan,
[email protected] 3 Graduate Student, Graduate School of Engineering, Toyohashi University of Technology, Japan
STRUT-AND-TIE MODELS FOR BAR DEVELOPMENT AND ANCHORAGE
Sung-Gul HONG1
SUMMARY
The bar development and anchorage is most critical subject for the successful performance of
structural concrete. This paper reviews on the previous application of strut-and-tie models (STM)
for bond behaviors. From the viewpoint of structural configuration surrounding nodal zones
including tension ties, bar development in compression-compression-tie nodal zone is a basic
subject to understand bond behavior. The strength of ties depends on transverse reinforcement and
geometric configuration surrounding the nodes. This study proposes classification of STM for bar
development and anchorage to improve detailing of bars in structural concrete involving bond
strength problems. Current design code provisions for bar detailing can be modified for safer
behaviors.
Keywords: Bar development; strut-and-tie models; structural configuration; cut-off points; bar
detailing
INTRODUCTION
Judicious detailing of reinforcement for structural concrete is of great importance, especially, in disturbed
regions. Detailing of reinforcement dependent on bar development and anchorage often controls the strength of
disturbed regions. In case of exterior of corner joints, where one or more of beams do not continue beyond the
joint, the safe detailing of bar anchorage is essential for the sound structural performance of joints. Using
strut-and-tie models (STM) the required forces in the reinforcement can be estimated for design. The forces in
the struts in joints are in equilibrium with the forces in the ties by bearing plates outside of nodal zones or by
bond along the reinforcement inside of nodal zones. This study shows how to deal with tension ties insides of
zones from the viewpoint of STM and the failure mechanisms with simple yield criteria for bond along the
interface between concrete and ties. The limit analyses (lower bound solution as STM and failure mechanisms)
have been performed under assumption of perfectly plastic behavior of material. The stress-strain relationship of
such material with sufficient ductility may be idealized by a horizontal relationship line beyond the yield point
either a perfectly rigid plastic material
MODELING OF BOND AND CLASSIFICATION OF STM FOR BOND
Modeling of bond
It is well accepted that the bond stresses at ultimate state of deformed bars can be developed in the form of
reactions due to action from diagonal compression force after losing adhesion between concrete and reinforcing
bars at initial stage. Such interaction has been interpreted as local truss action. Most existing models of bond
transfer focus on the local behavior and do not consider the interaction between surrounding internal force flows
and the local bond transfer. The proposed STM for bar development and bar anchorage in this study, plane stress
teats the state of stresses in concrete and along a bar developed by bond as plane stress state.
1 Professor, Dept. of Architecture, Seoul National University, Seoul, Korea, e-mail : [email protected]
HYBRID MASS DAMPERS FOR REDUCING WIND RESPONSES OF BUILDINGS
Kyung-Won Min*1
, Jae-Sung Heo2, Young-Wook Kim
2
SUMMARY
A tuned liquid mass damper (TLMD) is proposed for bi-directionally controlling wind responses
of a building in orthogonal directions. It is a damper which behaves as a tuned liquid column
damper (TLCD) and also as a tuned mass damper (TMD) in the orthogonal direction of TLCD.
First, experiments are performed for the TLMD installed by angles on a uniaxial shaking table in
order to describe bi-directional wind responses. Finally, a real size TLMD is manufactured and
installed on the fifth floor of a full scale five story steel building. Three tests are performed for
TLMDs placed in the TMD direction, TLCD direction and coupled direction by rotating the
TLMD by 45˚. Independent TMD and TLMD behaviors are observed as found in the shaking
table test.
Keywords : tuned liquid mass damper, tuned mass damper, tuned liquid column damper, full scale
building, bi-directional wind responses, control performance, effective mass, effective mass ratio,
natural frequency, acceleration
1. INTRODUCTION
Various types of TMDs were proposed to control the multi-directional responses of a structure. The multiple
tuned mass damper (MTMD) was developed to control the bi-directional responses of a structure by installing
two TMDs in two orthogonal directions. [1-5]. A bi-directional tuned mass damper (BTMD), having two springs
with different stiffness, which are jointly connected to one mass in two orthogonal directions, respectively, was
proposed to reduce bi-directional building responses. Desu et al.(2006) proposed the coupled tuned mass
damper (CTMD) which has different stiffness of springs and damping coefficient to control both the
translational and torsional responses of a building structure [6]. They also performed a comparative study on the
control effect of the MTMD, BTMD and CTMD installed in an asymmetric building. However, MTMDs require
a large space for installation. Moreover, not only they cause a dynamic eccentric force produced by two
additional masses but also it is required to reinforce the slab, on which additional masses are located. In the case
of BTMDs and CTMDs, there are difficulties in designing guide rails in multi-directions, through which heavy
mass moves. Heo et al.(2008) proposed a tuned liquid mass damper (TLMD) for reducing the bi-directional
wind responses of buildings [7]. The damper behaves as a TMD and a TLCD corresponding to building motions.
They verified the control performance experimentally for a small-sized TLMD mounted on a single-degree-of-
freedom structure. Also they performed a real-time hybrid shaking table testing to assess the control efficiency
of the total system by adopting the TLMD and the building model as experimental and numerical parts,
respectively. However, they did not verify the control performance of the TLMD in the case of coupled behavior
of the TMD and TLCD for a full scale building.
The aim of this study is to verify experimentally the coupled control performance of two orthogonal wind-
Professor, Department of Architectural Engineering, Dankook University, 126, e-mail: [email protected]
Graduate Student, Department of Architectural Engineering, Dankook University, 126
Keywords
LOAD-DRIFT RELATIONSHIP OF DOWEL BAR IN REINFORCED CONCRETE
MEMBER
Susumu TAKAHASHI1, Eiji ANODA
2, and Toshikatsu ICHINOSE
3
SUMMARY
Dowel action is an efficient shear-transfer mechanism for reinforced concrete members in many
cases, e.g. connections between precast concrete members, construction joints and beam ends
where longitudinal bars are pulled out from the joint. Lateral strength of dowel bars have been
discussed by many researchers, however, the stiffness of dowel action is not well-argued. In this
research, a nonlinear analysis is conducted to investigate the load-drift relationship of dowel bars.
Discrete model is used in this analysis, i.e. dowel bars embedded in concrete are divided into
elements along the depth. In the analysis, tri-linear models are used for moment-curvature
relationship of dowel bars and bearing stress-strain relationship of concrete. Load-drift relationship
given as a result of the analysis is compared with the experimental results of dowel bars reported
in a paper. The analytical results have good agreement with test results. Based on the analytical
results, a simple method to evaluate the load-drift relationship of dowel bars is proposed.
Load-drift relationship given by the method is tri-linear model and has good agreement with that
given by the nonlinear analysis.
Keywords: dowel action; reinforced concrete; load-drift relationship; discrete model; bearing
stress.
INTRODUCTION
Dowel bars embedded in concrete resist shear force when reinforced concrete member deforms along the
connection between precast concrete members or construction joint (Fig. 1). Dowel bars also resist shear force
when longitudinal bars in beams are pulled out from the joint (Fig. 2). For understanding of this mechanism,
many researches to investigate the shear capacity of dowel bars were conducted (e.g. Vinteleou and Tassios,
1986). However, stiffness of dowel action is still not well-known. Poli et al. (1992) conducted a set of tests to
investigate the stiffness of dowel bars and proposed a fitting curve for load-drift relationship of dowel bars.
Although the fitting curve includes many parameters, it is not clear how the yielding of dowel bars and the
fracture of concrete act on the load-drift relationship.
Tanaka and Murakoshi (2011) investigated the moment distribution of dowel bars along the embedment length.
It is also important to understand dowel behaviors as well as the load-drift relationship. They discussed about
moment distribution as first yielding of dowel bars. Therefore, it is not fully discussed about moment distribution
and deformation shape of dowel bars after its yielding.
In this research, a nonlinear analysis is conducted to investigate the load-drift relationship of dowel bars. In this
analysis, dowel bars are divided into elements along the embedment length. Analytical results show the moment
distribution and the deformation shape of dowel bars after their yielding. On the basis of these results, a method
1
Assistant Professor, Nagoya Institute of Technology, Japan, e-mail: [email protected]
Graduate Student, Nagoya Institute of Technology, Japan 3
Professor, Nagoya Institute of Technology, Japan
AN EXPERIMENTAL STUDY ON DUCTILE BEHAVIOR OF DIAGRID STRUCTURE
Yong-Wan KIM1, Myoung-Kyu LEE
2, Taejin KIM
3 and Byung-Min CHO
4
SUMMARY
Although there have been a number of researches on seismic design of building frames, the
studies on ductile behavior of the diagrid system have not been conducted sufficiently. Regarding
the buildings having diagrid frame system, it is expected that they will show low horizontal
ductility since the diagrid members receive high compression force and lateral force
simultaneously. Therefore, engineers should check how the diagrid frame members behave when
the seismic forces are acting, especially focusing on buckling occurrence due to the high
compression in diagonal members. In this study, several full-scale diagrid substructures were
tested by experiments. The purpose of these experiments was to find relationship between
horizontal ductility of diagrid members and vertical load. Since the result showed that the diagrid
members have poor ductility, additional experiments were conducted with diagrid substructures
which have frictional dampers.
Keywords: Diagrid, experiment, ductility, buckling, energy dissipation, frictional damper
INTRODUCTION
The newest trend of architecture pursues free-form buildings, inspiring architects and engineers to introduce
various complex-shaped structures. Especially, development of triangular module of tall building frame such as
diagrid system has enabled construction of a number of landmark buildings in many countries. According to
recent studies, the diagrid system also has been proved to be effective in resisting both gravity and horizontal
loads simultaneously.
These days, a lot of buildings are being built on high seismic region, so it became a big issue among engineers
that there should be enough researches on ductile capacity of these buildings. This consideration has been drawn
numerous efforts to identify ductile behavior of many different building frame systems, including experiment
and nonlinear analysis. However, the studies on ductile behavior of the diagrid system have not been conducted
sufficiently. Consequently, engineers have had to assign nonlinear properties to their analysis model using only
brace element which has different role with diagrid members.
For tall buildings having diagrid system, it is expected that they will show low ductility against strong
earthquake ground motions since the diagrid members are designed to receive high compression force as well as
lateral force. In other words, it is necessary to carefully observe how the diagrid members behave under the
combination of vertical and lateral loads and verify how the buckling occurrence due to the high compression
which affects ductile capacity.
In this study, diagrid substructures designed based on 60-story diagrid frame prototype were tested by full-scale
experiments. The experiment specimens were loaded both vertically and horizontally. This experimental study
ultimately aimed to identify the relationship between ductility of diagrid members and size of vertical load. As a
result of the experiment, it was proved that, as the vertical load increases, the diagrid member behaves more
brittle due to its buckling.
1Senior Engineer, Chang Minwoo Structural Consultants, Korea 2*Presenter, General Manager, Chang Minwoo Structural Consultants, Korea 3President, Ph.D., PE, Chang Minwoo Structural Consultants, Korea 4Engineer, Chang Minwoo Structural Consultants, Korea
RESPONSE-BASED PROBABILISTIC RISK ASSESSMENT OF
NUCLEAR POWER PLANTS
Yin-Nan HUANG1, Ying-Hsiu SHEN2, Chang-Ching CHANG3, and Ching-Ching YU4
SUMMARY
Seismic probabilistic risk assessment (SPRA) has been widely used to compute the core damage
frequency of a nuclear power plant (NPP) and typically involves the use of component fragility
curves defined as a function of ground-motion parameters, such as peak ground acceleration and
spectral acceleration. In this study, seismic risk of a sample NPP is computed using a new SPRA
methodology, where the component fragility curves are defined as a function of
structural-response parameters, such as floor spectral acceelration. The results of risk computed
using conventional and new SPRA methodologies are compared and the advantages and
disadvantages of the new methodology are discussed.
Keywords: nuclear power plant, seismic risk assessment, fragility, uncertainty
INTRODUCTION
The United States Nuclear Regulatory Commission (USNRC) issued Supplement 4 to Generic Letter No. 88-20
(USNRC 1991) in 1991 requiring nuclear power plant utilities to perform an Individual Plant Examination of
External Events (IPEEE) and also issued NUREG-1407 (Chen et al. 1991) to help guide the IPEEE. For an
Individual Plant Examination (IPE) of seismic events, NUREG-1407 identified Seismic Probabilistic Risk
Assessment (SPRA) as an acceptable methodology for the examination of earthquake-induced risks. SPRA
provides a formal process in which the randomness and uncertainty in seismic input, structure response and
material capacity is considered in the computation of risk. NUREG/CR-2300 (USNRC 1983) provides general
guidance for performing SPRA for NPPs. The guideline describes two SPRA methods: (1) Zion and (2) the
Seismic Safety Margin (SSM). The Zion method was first developed and applied in the Oyster Creek
probabilistic risk assessment and later improved and applied in 1981 to estimate seismic risk for the Zion Plant
(Pickard et al. 1981). The SSM method was developed in an NRC-funded project termed “the Seismic Safety
Margin Research Program (SSMRP)” at the Lawrence Livermore National Laboratory (Smith et al. 1981).
Huang et al. (2011a, 2011b) proposed a SPRA methodology, which is based on the conventional methods
described above and the new tools developed for the next-generation performance-based earthquake engineering
(ATC 2012, Der Kiureghian 2005, Yang 2009). The method of Huang et al. differs in many regards from
methods used to date for the probabilistic risk assessment of NPPs. Key differences include 1) the use of
component fragility curves that are expressed in terms of structural responses (e.g., story drift and peak floor
acceleration) and not on ground-motion intensity (e.g., peak ground acceleration), 2) the characterization of
earthquake shaking using seismic hazard curves, and 3) procedures for both scaling earthquake ground motions
and assessment of component damage.
1 Assistant Professor, National Taiwan University, Taiwan, e-mail: [email protected] 2 Research Assistant, National Center for Research on Earthquake Engineering, Taiwan, e-mail: [email protected] 3 Assistant Researcher, National Center for Research on Earthquake Engineering, Taiwan, e-mail: [email protected] 4 Graduate Student, National Taiwan University, Taiwan, e-mail: [email protected]